Question

The volume of a cylinder is 300 metre cube then the volume of a cone having the same radius and height as that of the cylinder is

Answer 1

Hey Ruby Raju !

Answer:

100 m³

Step-by-step explanation:

Given :

Volume of a cylinder is 300 m³.

To Find :

The volume of a Cone having the same radius and height as that of the Cylinder.

Formulae :

Volume of a Right Circular Cylinder = πr²h

Volume of a Right Circular Cone = (1/3)πr²h

• Where r is the Radius of the Base of the Cylinder / Cone.
• Where h is the Height of the Cylinder / Cone.

Procedure :

From the formulae,

Volume of Cylinder = 3 × Volume of Cone [As r and h is the same]

∴ Volume of Cone = Volume of Cylinder / 3

∴ Volume of Cone = 300 m³ / 3

∴ Volume of Cone = 100 m³.

Thanks !

Answer 2

Answer:

Volume of the cone = 100 m³

Step-by-step explanation:

Given data:

The volume of a cylinder = 300 m³

here we need to find volume of the cone having the same radius and height as that of the cylinder    

if a cone and a cylinder have same radius and height

then the relation between volumes of cone and cylinder is given by

        volume of cylinder = 3 × volume of the cone

from given data volume of cylinder = 300 m³

    ⇒   300 m³ = 3 × volume of the cone  

  volume of the cone = 300/3 = 100 m³